OCR FP1 2011 January — Question 2

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJanuary
TopicComplex Numbers Arithmetic
TypeMulti-part questions with division as one step
2 The complex numbers \(z\) and \(w\) are given by \(z = 4 + 3 \mathrm { i }\) and \(w = 6 - \mathrm { i }\). Giving your answers in the form \(x + \mathrm { i } y\) and showing clearly how you obtain them, find
  1. \(3 z - 4 w\),
  2. \(\frac { z ^ { * } } { w }\).
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